ON A NEW CLASS OF ANALYTIC FUNCTION DERIVED BY A FRACTIONAL DIFFERENTIAL OPERATOR

doi:10.1016/S0252-9602(14)60093-X

Abstract

Abstract:

Making use of the fractional differential operator, we impose and study a new class of analytic functions in the unit disk (type fractional differential equation). The main object of this paper is to investigate inclusion relations, coefficient bound for this class. Moreover, we discuss some geometric properties of the fractional differential operator.

Key words: analytic function, fractional calculus, fractional differential operator, univalent function, unit disk, bounded turning function

CLC Number:

30C45

Rabha W. IBRAHIM, Janusz SOK′O L. ON A NEW CLASS OF ANALYTIC FUNCTION DERIVED BY A FRACTIONAL DIFFERENTIAL OPERATOR[J].Acta mathematica scientia,Series B, 2014, 34(5): 1417-1426.

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